Average Degree of Graphs Derived From The Ammann A2 Aperiodic Tiling
Combinatorics
2025-09-24 v2 Mathematical Physics
math.MP
Abstract
The Ammann A2 tiling is a simple aperiodically ordered tiling of the plane. We consider the graph derived from this tiling, by treating each corner of each tile as a vertex and each side of each tile as an edge. We present a closed-form formula for the average degree of the graph corresponding to this Ammann A2 tiling.
Keywords
Cite
@article{arxiv.2408.07707,
title = {Average Degree of Graphs Derived From The Ammann A2 Aperiodic Tiling},
author = {Xinyan Xu and Darren C. Ong},
journal= {arXiv preprint arXiv:2408.07707},
year = {2025}
}